Sökning: "Steady two dimensional water wave"

Hittade 2 uppsatser innehållade orden Steady two dimensional water wave.

1. 1. Gravity water waves over constant vorticity flows: from laminar flows to touching waves

   Master-uppsats, Lunds universitet/Matematik (naturvetenskapliga fakulteten); Lunds universitet/Matematikcentrum

   Författare :Francisco Gonçalves Jorge Dias de Carvalho; [2023]
   Nyckelord :Partial differential equations; Water waves; Euler equations; Free boundary problem; Bifurcation theory; Nonlinear functional analysis; Hilbert transform; Mathematics and Statistics;

   Sammanfattning : In a recent paper, Hur and Wheeler proved the existence of periodic steady water waves over an infinitely deep, two-dimensional and constant vorticity flow and subject to gravity whose profile overhangs, among which, waves whose surface touches at a point, enclosing a bubble of air. We take this further, proving the existence of a continuous curve of water waves from a laminar flow up to a touching wave for fixed non-zero gravity. LÄS MER

3. 2. Steady Periodic Water Waves Solutions Using Asymptotic Approach

   Master-uppsats, Tillämpad matematik

   Författare :Shahid Hasnain; [2011]
   Nyckelord :Steady two dimensional water wave; perturbation approach; separation of variable; pressure head and flow force.;

   Sammanfattning : The aim of this work is to study the relation between two invariants of water flow in a channel of finite depth. The first invariant is the height of the water wave and the second one is the flow force. We restrict ourselves to water waves of small amplitude. LÄS MER